5258
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 3382
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2380
- Möbius Function
- -1
- Radical
- 5258
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- [ (4th elementary symmetric function of P(n))/(2nd elementary symmetric function of P(n)) ], where P(n) = {1, p(1), p(2), ..., p(n-1)}, where p(0) = 1.at n=12A024535
- Numbers whose set of base-8 digits is {1,2}.at n=43A032929
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,2.at n=4A037549
- Base 7 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,2.at n=4A037572
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,3,2,0.at n=5A037710
- Numerators of continued fraction convergents to sqrt(476).at n=5A041908
- a(n)=(s(n)+2)/9, where s(n)=n-th base 9 palindrome that starts with 7.at n=37A043078
- Numbers having three 2's in base 8.at n=33A043431
- Denominators of convergents to Euler-Mascheroni constant.at n=9A046115
- Values of n for which there are no empty intervals when frac(m*gamma) for m = 1, ..., n is plotted along [0, 1] subdivided into n equal regions.at n=14A046158
- Number of points in N^10 of norm <= n.at n=3A055409
- Number of points in N^n of norm <= 3.at n=10A055418
- Series for first parallel moment of square lattice bond percolation near a wall.at n=11A056575
- a(n) = index of triangular number A077002(n).at n=11A077003
- a(1) = 30; for n > 1, a(n+1) = a(n) + {product of nonzero digits of a(n)}.at n=46A095992
- Numbers for which the sum of the digits is the square root of the product of their digits.at n=10A117720
- Smallest m such that A136743(m) = n.at n=10A136744
- A triangular sequence of coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m - 1)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m + 3)^n*x^m, {m, 0, Infinity}])/2.at n=22A154649
- A triangular sequence of coefficients: p(x,n)=((-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m - 1)^n*x^m, {m, 0, Infinity}] + (-1)^(n + 1)*(x - 1)^(n + 1)*Sum[(2*m + 3)^n*x^m, {m, 0, Infinity}])/2.at n=26A154649
- Number of binary strings of length n with equal numbers of 00001 and 00100 substrings.at n=13A164194